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Finding the Fourth Proportional to 8,051, 12,083.04 and 4,156.52

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Solution

The fourth proportional to 8,051, 12,083.04 and 4,156.52 is: 6,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051 : 12,083.04 = 4,156.52 : x
  2. Step 2: Convert to fraction form
    8,051/12,083.04 = 4,156.52/x
  3. Step 3: Cross multiply
    8,051x = 12,083.04 × 4,156.52
  4. Step 4: Simplify right side
    8,051x = 50,223,397.42
  5. Step 5: Solve for x
    x = 50,223,397.42/8,051
  6. Step 6: Final answer
    x = 6,238.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.